Average geodesic distance of skeleton networks of Sierpinski tetrahedron

DOI10.1016/j.physa.2017.12.051OpenAlexW2773516873MaRDI QIDQ2150166

Songjing Wang, Jinjin Yang, Yongchao Ye, Li-Feng Xi

Publication date: 27 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.12.051

zbMATH Keywords

self-similar measureaverage distancefractal networkfinite patternSierpinski tetrahedron

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (31)

ZAGREB ECCENTRICITY INDICES OF VICSEK NETWORKS ⋮ FRACTAL NETWORKS MODELED BY SOME FRACTAL CARPET ⋮ Average geodesic distance on stretched Sierpiński gasket ⋮ Scaling of average weighted shortest path and average receiving time on the weighted Cayley networks ⋮ NODE-WEIGHTED AVERAGE FERMAT DISTANCES OF FRACTAL TREE NETWORKS ⋮ Mean first-passage times for two biased walks on the weighted rose networks ⋮ Weighted average geodesic distance of Vicsek network ⋮ Average distances on substitution trees ⋮ AVERAGE FERMAT DISTANCES ON VICSEK NETWORKS ⋮ MEAN STEINER DISTANCE OF VICSEK NETWORKS ⋮ GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE ⋮ AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI-TYPE NETWORKS ⋮ AVERAGE FERMAT DISTANCE OF A PSEUDO-FRACTAL HIERARCHICAL SCALE-FREE NETWORK ⋮ AVERAGE DISTANCE OF SUBSTITUTION NETWORKS ⋮ FRACTAL VERSION OF ZAGREB ECCENTRICITY INDEX ⋮ GEODESIC DISTANCE ON LALLEY–GATZOURAS CARPETS ⋮ AVERAGE DISTANCES OF A FAMILY OF NON-P.C.F. SELF-SIMILAR NETWORKS ⋮ WEIGHTED AVERAGE GEODESIC DISTANCE OF PENTADENDRITE NETWORKS ⋮ FRACTAL NETWORKS ON SIERPINSKI-TYPE POLYGON ⋮ AVERAGE DISTANCES OF A FAMILY OF P.C.F. SELF-SIMILAR NETWORKS ⋮ GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS ⋮ Mean geodesic distance of the level-\(n\) Sierpinski gasket ⋮ Estimating the Hausdorff dimensions of univoque sets for self-similar sets ⋮ AVERAGE DISTANCE OF SIERPINSKI-LIKE CARPET ⋮ MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET ⋮ AVERAGE DISTANCES OF LINDSTRÖM SNOWFLAKE NETWORKS ⋮ MEAN DISTANCE ON STRETCHED CANTOR PRODUCT ⋮ SELF-SIMILAR TOUCHING NETWORKS — PART I ⋮ SELF-SIMILAR TOUCHING NETWORKS — PART II ⋮ AVERAGE FERMAT DISTANCE OF A FRACTAL TREE

Cites Work

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• Scale-free and small-world properties of Sierpinski networks
• Fractality and scale-free effect of a class of self-similar networks
• Geodesic distances and intrinsic distances on some fractal sets
• Emergence of Scaling in Random Networks
• The exact solution of the mean geodesic distance for Vicsek fractals
• The Structure and Function of Complex Networks
• Collective dynamics of ‘small-world’ networks
• Networks

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